Exponential Decay for a Klein-Gordon-Schrödinger System with locally Distributed Damping
Exponential Decay for a Klein-Gordon-Schrödinger System with locally Distributed Damping
Abstract The following coupled damped Klein-Gordon-Schrödinger equations are considered iψt + κψxx + iαb(x)ψ = φψχ(ω), φtt − φxx + φ + λ(x)φt = −Reψxχ(ω), where Ω is a bounded domain of R, with smooth boundary Γ and ω is a neighbourhood of ∂Ω satisfying the geometric control condition. The …